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ohaa [14]
3 years ago
8

Evaluate the inequality 6x-2y+8 when x=3 and y=2 show your work

Mathematics
2 answers:
tatuchka [14]3 years ago
7 0

Answer:

22

Step-by-step explanation:

6x-2y+8

(6 • 3) - (2 • 2) + 8

18 - 4 + 8

22

(i think)

snow_tiger [21]3 years ago
3 0

Answer:

22

Step-by-step explanation:

6(3)-2(2)+8

18-4+8

14+8

22

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Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometers per hour, and then rode from the beach to
sasho [114]

Answer:

\displaystyle b=0.45\ h

\displaystyle p=0.55\ h

Step-by-step explanation:

<u>Cinematics </u>

When an object moves at a constant speed, it can be computed as

\displaystyle v=\frac{x}{t}

Where x is the distance traveled and t the time needed to complete it at the constant speed v

If we wanted to compute t from the equation above, then

\displaystyle t=\frac{x}{v}

Elia rode her bicycle from her house to the beach at 18 km/h and then from the beach to the park at 15 km/h, taking 1 hour in the whole travel, each distance being equal. If we call b as the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park, then we can compute

\displaystyle b=\frac{x}{18}

\displaystyle p=\frac{x}{15}

The question doesn't ask for something in particular, so I'm helping you by solving the complete problem. We know the total time is 1 hour, so

\displaystyle b+p=1

Replacing b and p

\displaystyle \frac{x}{18}+\frac{x}{15}=1

Multiplying by 90

\displaystyle \frac{90x}{18}+\frac{90x}{15}=90

Simplifying and solving for x

\displaystyle 5x+6x=90

\displaystyle 11x=90

\displaystyle x=\frac{90}{11}=8.18\ km

We finally compute b and p

\displaystyle b=\frac{8.18}{18}=0.45\ h

\displaystyle p=\frac{8.18}{15}=0.55\ h

8 0
4 years ago
Suppose you want to eat lunch at a popular restaurant. The restaurant does not take reservations, so there is usually a waiting
grin007 [14]

Answer:

a) z_1 =\frac{20-19}{4} =0.25

z_2 =\frac{15-19}{4} =-1

And we can use the complement rule and we got:

P(z>0.25)=1-P(z

P(z>-1)=1-P(z

And replacing we got:

P(X >20| X>15)= \frac{0.401}{0.841}= 0.477

b) z_1 =\frac{20-19}{4} =0.25

z_2 =\frac{18-19}{4} =-0.25

And we can use the complement rule and we got:

P(z>0.25)=1-P(z

P(z>-0.25)=1-P(z

And replacing we got:

P(X >20| X>18)= \frac{0.401}{0.599}= 0.669

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the length of time waiting to be seated of a population, and for this case we know the distribution for X is given by:

X \sim N(19,4.0)  

Where \mu=19 and \sigma=4.0

Part a

For this cae we want to find this probability:

P(X >20| X>15)

And if we use the conditional probability formula we got:

P(X >20| X>15)= \frac{P(X >20 \cap X>15)}{P(X>15)}=\frac{P(X>20)}{P(X>15)}

We can solve the problem using the z score formula given by:

z = \frac{x-\mu}{\sigma}

z_1 =\frac{20-19}{4} =0.25

z_2 =\frac{15-19}{4} =-1

And we can use the complement rule and we got:

P(z>0.25)=1-P(z

P(z>-1)=1-P(z

And replacing we got:

P(X >20| X>15)= \frac{0.401}{0.841}= 0.477

Part b

P(X >20| X>18)= \frac{P(X >20 \cap X>18)}{P(X>18)}=\frac{P(X>20)}{P(X>18)}

We can solve the problem using the z score formula given by:

z = \frac{x-\mu}{\sigma}

z_1 =\frac{20-19}{4} =0.25

z_2 =\frac{18-19}{4} =-0.25

And we can use the complement rule and we got:

P(z>0.25)=1-P(z

P(z>-0.25)=1-P(z

And replacing we got:

P(X >20| X>18)= \frac{0.401}{0.599}= 0.669

5 0
4 years ago
a fund-raiser raised 2400 dollar, which was 0.6 of the goal. write and solve an equation to find the amount of the goal
ivolga24 [154]

goal * .6 = 2400

divide by .6

goal = 2400/.6

goal = 4000

8 0
3 years ago
Wil give BRANLIEST AND THANKS AND LIKES!!!!!!!!!!1
oksano4ka [1.4K]

Answer:

6

Step-by-step explanation:

Volume of the display case = 216 +8

=224

Length of a side

=  \sqrt[3]{224}  = 6.07

7 0
3 years ago
What is the value of x?<br> 60"<br> 95<br> A. 250<br> B. 350<br> C. 60°<br> D. 1550<br> PREVIOUS
gregori [183]

Answer:

it's B ==35

Step-by-step explanation:

8 0
3 years ago
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